Non-Fourier Heat Conduction of a Functionally Graded Cylinder Containing a Cylindrical Crack-Reference-Cited by-同舟云学术

Non-Fourier Heat Conduction of a Functionally Graded Cylinder Containing a Cylindrical Crack

Published:2020-02-01 Issue: Volume:2020 Page:1-11
ISSN:1687-9120
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Fu Jiawei¹^ORCID,Hu Keqiang²,Qian Linfang¹,Chen Zengtao³

Affiliation:

1. Department of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing, Jiangsu 210094, China

2. Department of Chemical and Materials Engineering, University of Alberta, Edmonton, AB T6G 1H9, Canada

3. Department of Mechanical Engineering, University of Alberta, Edmonton, AB T6G 1H9, Canada

Abstract

The present work investigates the problem of a cylindrical crack in a functionally graded cylinder under thermal impact by using the non-Fourier heat conduction model. The theoretical derivation is performed by methods of Fourier integral transform, Laplace transform, and Cauchy singular integral equation. The concept of heat flux intensity factor is introduced to investigate the heat concentration degree around the crack tip quantitatively. The temperature field and the heat flux intensity factor in the time domain are obtained by transforming the corresponding quantities from the Laplace domain numerically. The effects of heat conduction model, functionally graded parameter, and thermal resistance of crack on the temperature distribution and heat flux intensity factor are studied. This work is beneficial for the thermal design of functionally graded cylinder containing a cylindrical crack.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2020/8121295.pdf

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